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Let $(M,g)$ be a noncompact complete Bach-flat manifold with positive Yamabe constant.
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P. Delanoe, Generalized stereographic projections with prescribed scalar curvature, in: Geometry and nonlinear partial differential equations, Contemp. Math., 127, A.M.S., Providence, 1992, pp 17-25
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S. Y. A. Chang, M. Gursky, P. Yang, An equation of Monge-Ampere type in conformal geometry, and four-manifolds of positive Ricci curvature, Ann. Math. 155 (2002), 709-787
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S. Y. A. Chang, J. Qing, P. Yang, On a conformal gap and finiteness theorem for a class of four manifolds, Geom. Funct. Anal. 17 (2007) 404-434
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